The impulse response \(g\left( t \right)\) of a system, G is as shown in figure (a), What is the maximum value attained by the impulse response of two cascaded blocks of G as shown in figure (b)?

Gate EE 2015 paper 1 Images-Q6

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  1. \(\frac{2}{3}\)
  2. \(\frac{3}{4}\)
  3. \(\frac{4}{5}\)
  4. 1

Answer (Detailed Solution Below)

Option 4 : 1
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Overall impulse response \(= {\rm{\;}}g\left( f \right){\rm{*}}g\left( t \right)\) 

\(h\left( f \right){\rm{\;}} = {\rm{\;}}g\left( f \right){\rm{\;*\;}}g\left( f \right)\)

Gate EE 2015 paper 1 Images-Q6.1

From the above graph, the maximum value cascaded response is 1.

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